Boost C++ Libraries

libs/graph/example/isomorphism.cpp

// (C) Copyright Jeremy Siek 2001.
// Distributed under the Boost Software License, Version 1.0. (See
// accompanying file LICENSE_1_0.txt or copy at
// http://www.boost.org/LICENSE_1_0.txt)

#include <boost/config.hpp>
#include <iostream>
#include <boost/graph/isomorphism.hpp>
#include <boost/graph/adjacency_list.hpp>

#include <boost/graph/graph_utility.hpp>

/*
  Sample output:
  isomorphic? 1
  f: 9 10 11 0 1 3 2 4 6 8 7 5
 */

int main()
{
    using namespace boost;

    const int n = 12;

    typedef adjacency_list< vecS, listS, undirectedS,
        property< vertex_index_t, int > >
        graph_t;
    graph_t g1(n), g2(n);

    std::vector< graph_traits< graph_t >::vertex_descriptor > v1(n), v2(n);

    property_map< graph_t, vertex_index_t >::type v1_index_map
        = get(vertex_index, g1),
        v2_index_map = get(vertex_index, g2);

    graph_traits< graph_t >::vertex_iterator i, end;
    int id = 0;
    for (boost::tie(i, end) = vertices(g1); i != end; ++i, ++id)
    {
        put(v1_index_map, *i, id);
        v1[id] = *i;
    }
    id = 0;
    for (boost::tie(i, end) = vertices(g2); i != end; ++i, ++id)
    {
        put(v2_index_map, *i, id);
        v2[id] = *i;
    }
    add_edge(v1[0], v1[1], g1);
    add_edge(v1[1], v1[2], g1);
    add_edge(v1[0], v1[2], g1);
    add_edge(v1[3], v1[4], g1);
    add_edge(v1[4], v1[5], g1);
    add_edge(v1[5], v1[6], g1);
    add_edge(v1[6], v1[3], g1);
    add_edge(v1[7], v1[8], g1);
    add_edge(v1[8], v1[9], g1);
    add_edge(v1[9], v1[10], g1);
    add_edge(v1[10], v1[11], g1);
    add_edge(v1[11], v1[7], g1);

    add_edge(v2[9], v2[10], g2);
    add_edge(v2[10], v2[11], g2);
    add_edge(v2[11], v2[9], g2);
    add_edge(v2[0], v2[1], g2);
    add_edge(v2[1], v2[3], g2);
    add_edge(v2[3], v2[2], g2);
    add_edge(v2[2], v2[0], g2);
    add_edge(v2[4], v2[5], g2);
    add_edge(v2[5], v2[7], g2);
    add_edge(v2[7], v2[8], g2);
    add_edge(v2[8], v2[6], g2);
    add_edge(v2[6], v2[4], g2);

    std::vector< graph_traits< graph_t >::vertex_descriptor > f(n);

#if defined(BOOST_MSVC) && BOOST_MSVC <= 1300
    bool ret = isomorphism(g1, g2,
        make_iterator_property_map(f.begin(), v1_index_map, f[0]),
        degree_vertex_invariant(), get(vertex_index, g1),
        get(vertex_index, g2));
#else
    bool ret = isomorphism(g1, g2,
        isomorphism_map(
            make_iterator_property_map(f.begin(), v1_index_map, f[0])));
#endif
    std::cout << "isomorphic? " << ret << std::endl;

    std::cout << "f: ";
    for (std::size_t v = 0; v != f.size(); ++v)
        std::cout << get(get(vertex_index, g2), f[v]) << " ";
    std::cout << std::endl;

    return 0;
}